if ray XV is parallel to line LR, measurement of angle 2 = 2n-4 and measurement of angle 3 = n+1. find the value of n.
Answers
I solved the question using the condition that ray XV is perpendicular (not parallel) to line LR, as shown in the image.
Answer:
n=31°
Step-by-step explanation:
If ray XV is perpendicular to line LR, then the four angles they form are equal to 90°.
We can see that angles 2 and 3 form a right angle, or:
[tex]m\angle 2 + m\angle 3=90^\circ[/tex]
We are also given that:
[tex]m\angle 2=2n-4[/tex]
[tex]m\angle 3=n+1[/tex]
Substituting (get rid of the units):
[tex]2n-4+n+1=90[/tex]
Joining like terms:
[tex]3n-3=90[/tex]
Adding 3:
[tex]3n=90+3=93[/tex]
Solving:
[tex]n=93/3[/tex]
n=31°
Related Questions
Does the point (1,2) lie on the locus whose equation is 2x+4y = 10?
Answers
Answer:
Yes, the point lies on the line.
Step-by-step explanation:
Given coordinate of the locus = (1,2)
Equation of the line 2x+4y = 10
Unknown:
Does the given coordinate lie on the line?
Solution:
The equation given is that of a straight line. To solve this problem, we simply plug the coordinates of the point back into the equation and check if solves it.
x = 1 and y = 2;
2x+4y = 10
So;
2(1) + 4(2) gives 2 + 8 = 10
Yes, the point lies on the line.
The equation of y-axis is of the form
Answers
Answer:
x=0
Step-by-step explanation:
The equation of the y axis corresponds to the equation of every point that lies and constitute the y-axis. As the horizontal distance from every point lying on the y-axis with the main y-axis remains 0, hence, its abscica (x-coordinate) also will be zero.
Hence, x=0
If sydney answer 15 questions in the first section correctly what is the minimum number of questions she must have answered correctly in the second section
Answers
Answer:
8 Is correct on EDGE 2020
Step-by-step explanation:
Just took the test and got it right
The question was incomplete. Below you will find the missing content.
The questions on the first section on a test value 3 points and the questions in the second section carries 5 points. if sydney answer 15 questions in the first section correctly what is the minimum number of questions she must have answered correctly in the second section.And the maximum points she scored is 80.
Answer:
Sydney must have answered at least 8 answers in the second section.
Concept
What is Inequality?
Inequality is a condition which compare algebraic expression using greater than(>), less than(<) symbols. It also shows values greater than equal to(≥), less than equal to(≤) and not equal to(≠) signs to solve the equation.
let x represent the number of correct questions in the first section, and let y represent the number of correct questions in the second question.Therefore the inequality representing her score is 3x + 5y > 80
Solution:
Following the inequality 3x+5y>80, 3x represents sydney's score in the first section which is equal to 3ₓ15 = 45
Now she needs to solve 8 questions in the second section to score
5 ₓ 8 = 40 for the inequality to be maintained.
i.e 3 ₓ 15 + 5 ₓ 8 > 80
45 + 40 > 80
85 > 80
If she solves 7 questions in the second section then the total score will be 45 + 45 ⊅ 80
Therefore sydney answers 8 questions correctly in the second section.
Learn more about "inequality equations" here-
brainly.com/question/24372553
#SPJ2
5. 27a3+216b3 ???
tomorrow is the submission :(
Answers
Answer:
(3a +6b) (9a² - 18ab + 36b²)
Step-by-step explanation:
27 = 3 * 3 * 3 = 3³
216 = 6 * 6 * 6 = 6³
a³ + b³ = (a + b)(a² - ab + b²)
27a³ + 216b³ = (3a)³ + (6b)³
= (3a + 6b)( (3a)² - 3a*6b + (6b)² )
= (3a +6b) (9a² - 18ab + 36b²)
Integers on number lines
Answers
Simplify. Express your answer as a single fraction in simplest form.
9v/4v- (w - 2)
Answers
i’m pretty sure this would be your answer
explanation:
Reduce the fraction with v
When there is a in front of an expression in parentheses, change the sign of each term in the expression
then calculate the sum
Ivan is getting ready for a long road trip. He wants to pack a few books from his collection of 5 novels and 7 collected short stories books. He asks his friend to select a book without showing. From the remaining books, Ivan then himself picks a random book, which turns out to be a novel. The third book that he randomly selects from the remaining ones is also a novel. Find the probability that Ivan will have 3 novels to read during the road trip.
Answers
Answer:
The probability that Ivan will have 3 novels to read during the road trip is 0.0455
Step-by-step explanation:
Given;
number of novels = 5
number of short stories = 7
total number of books = 12
The probability that Ivan's friend pick's a novel = 5 / 12
The probability of Ivan's first pick to be a novel = 4 / 11
The probability of Ivan's second pick to be a novel = 3 /10
The probability that Ivan will have 3 novels to read during the road trip is given by;
= p(Ivan's friend pick) and P(Ivan's first pick) and P(Ivan's second pick);
[tex]= \frac{5}{12}*\frac{4}{11}*\frac{3}{10}\\\\ = \frac{1}{22}\\\\ = 0.0455[/tex]
Therefore, the probability that Ivan will have 3 novels to read during the road trip is 0.0455
at the beginning of grade 6 the number of advanced math to the number of regluar math students was 3:8 however after taking placement tests students were moved around chaning the ratio of the number of advanced math students to the number of regluar math students was 4:7 how many student students started in reglaur math and advanced math if there were 92 students in advanced math after the placement test. Please tell me how to do this on a tape diagram
Answers
Answer:
There were 69 students in advanced math and 184 students in regular math before the placement tests
Step-by-step explanation:
The correct question
At the beginning of 6th grade, the ratio of the number of advanced math students to the number of regular math students was 3:8. However, after taking placement tests, students were moved around changing the ratio of the number of advanced math students to the number of regular math students to 4:7. How many students started in regular math and advanced math if there were 92 students in advanced math after the placement tests?
Let
x ----> the number of advanced math students
y ----> the number of regular math students
we know that
At the beginning of grade 6
----> equation A
After taking placement tests
----> equation B
----> equation C
Remember that
The total number of students at the beginning of grade 6 is the same that the number of students after taking placement tests
step 1
Find out the total number of students after taking placement tests
we have
----> equation B
----> equation C
substitute the value of x in equation B and solve for y
The total number of students after taking placement tests is
step 2
Find out how many students started in regular math and advanced math
we have that
At the beginning of grade 6
----> equation A
-----> equation D
Solve the system of equations by graphing
The solution is the intersection point both graphs
using a graphing tool
The solution is the point (69,184)
see the attached figure
therefore
There were 69 students in advanced math and 184 students in regular math before the placement tests
Answer:
:o
Step-by-step explanation:
3/5 ÷ 1 1/4. plz help
Answers
Answer:
12/25 (0.48 in decimal form)
Step-by-step explanation:
3/5 divided by 1 1/4
Make 1 1/4 an improper fraction:
1 1/4 = 5/4
Now we flip 5/4 (the second fraction) when we divide and then multiply it by the first fraction.
Our equation now:
3/5 x 4/5
After multiplying across, you get 12/25 (0.48 in decimal form).
Hope this helps!
Use the greatest common factor to write each answer in simplest form what is 3/4 • 2/3?
Help ASAP
Answers
Answer:
1/2
Step-by-step explanation:
Leah bought a dress for the school dance that was priced ar $98.25. If the sales tax is 7.25%, how much money is added to the price?
Answers
Answer:
105.37
Step-by-step explanation:
Graph the exponential function.
f(x) = 4^x
Plot five points on the graph of the function. Then click on the graph-a-function button.
Answers
Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)
If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.
Substitute from -3≤x≤1 (We get 5 points)
f(-3) = 4^-3
f(-3) = 1/4^3
f(-3) = 1/64 (First point) (-3,1/64)
f(-2) = 4^-2
f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)
f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)
f(0) = 4^0 = 1 (Fourth point) (0, 1)
f(1) = 4^1 = 4 (Fifth point) (1,4)
You and your friend share a paper route. You can deliver 4 papers in one minute and your friend can deliver 3 papers in one minute. Seventy-five papers have to be delivered each day on the route. Let n be the number of papers you deliver. A) use the verbal model to write an equation that you can use to find out how long it will take the two of you working together to deliver the papers.
Answers
Answer:
[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]
Step-by-step explanation:
Given that:
4 papers are delivered by first person in one minute.
Rate of delivering one paper
or
Time taken to deliver one paper can be calculated by the formula:
[tex]\dfrac{\text{Total Time taken}}{\text{Number of papers delivered}}[/tex]
Time taken to deliver one paper by first person = [tex]\frac{1}{4}[/tex]
3 papers are delivered by second person in one minute.
Time taken to deliver one paper by second person = [tex]\frac{1}{3}[/tex]
Total number of papers = 75
Number of papers delivered by first person = [tex]n[/tex]
So, number of papers delivered by second person = ([tex]75-n[/tex])
Time taken to deliver [tex]n[/tex] newspapers = Number of newspapers delivered multiplied by Time taken to deliver one newspaper
Time taken by first person = [tex]n\times \frac{1}{4}[/tex]
Time taken by second person = [tex](75-n)\times \frac{1}{3}[/tex]
So, Total time taken can be written as:
[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]
Last week, Shelly tode her bike a total of 30 miles over a three-day period.
On the second day, she rode the distance she rode on the first day.
On the third day, she rode the distance she rode on the second day.
rts
How many miles did Shelly ride on each day? Select your answers from the drop-down lists.
On the first day, Shelly rode
miles.
On the second day, Shelly rode
miles.
ols
On the third day, Shelly rode
miles.m
Answers
Answer:
Step-by-step explanation:
ON THE FIRST DAY, SHELLY RODE 12 MILES
Write an algebraic expression for the area of the conference room
Answers
Answer:
I like yo cut gggggggggggg
Check all fractions equivalent to 2⁄8.
Check all that are true.
1⁄2
1⁄6
4⁄16
1⁄4
4⁄12
Answers
if there are 689 turtles flying on clouds and 90 turtles fall and die how much turtles are flying on clouds find the answers yourself I know you can do it! :)
Answers
Answer:
599
Step-by-step explanation:
uh just subtraction
Answer:
599
Step-by-step explanation:
689-90=599
Thats pretty sad...
Solve the system of equation
Answers
Fort the first equation just click on the photo and for the second it’s x-y=-1
Answer:
x= 3, y= 8
or x= -1, y= 0
Step-by-step explanation:
y= 2x² -2x -4 -----(1)
y -2x= 2
y= 2x +2 -----(2)
Substitute (1) into (2):
2x² -2x -4= 2x +2
2x² -2x -4 -2x -2= 0 (bring all terms to the left)
2x² -4x -6= 0 (simplify)
x² -2x -3= 0 (÷2 on both sides)
(x -3)(x +1)= 0 (factorise)
x -3= 0 or x +1= 0
x= 3 or x= -1
Substitute into (2):
y= 2(3) +2 or y= 2(-1) +2
y= 6 +2 or y= -2 +2
y= 8 or y= 0
x-(x(x-y to the power of 3)) ; use x=9 and y=1
Answers
Answer:
-4599
Step-by-step explanation:
x-(x(x-y)^3) , x=9, y=1
=9-(9(9-1)^3)
=9-(9(8)^3)
=9-(9*512)
=9-4608
= -4599
Solve 5(x + 3) = 3x - 4
Show clear algebraic working,
Answers
Answer:
5(x + 3) = 3x - 4
=> (5 * x ) + (5 * 3) = 3x - 4
=> 5x + 15 = 3x - 4
=> 5x = 3x - 4 - 15
=> 5x - 3x = -4 - 15
=> 2x = -19
=> x = -19/2
=> x = -9.5
If my answer helped, kindly mark me as the brainliest!
Thank You!!
HELP ASAP
Jason has $2.25 worth of dimes and quarters. He has twice as many dimes as quarters. Determine the number of dimes and the number of quarters that Jason has.
Answers
Answer:
Step-by-step explanation:
let the number of dimes=x
and number of quarters=y
x=2y
0.10 x+0.25 y=2.25
or 10x+25y=225
divide by 5
2x+5y=45
2 ×2y+5y=45
4y+5y=45
9y=45
y=45/9=5
x=2y=2×5=10
Hence dimes=10
quarters=5
Rectangle A measures 8 inches by 5 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the dimensions of Rectangle B. 1. 4 inches by 2.5 inches 2. 15 inches by 10 inches 3. 24 inches by 15 inches 4. 9 inches by 6 inches
Answers
Answer:
C. 24 inches by 15 inches
Step-by-step explanation:
Given
[tex]Rectangle: 8\ by\ 5\ inches[/tex]
Required
Determine the scale copies
To do this, we calculate the ratio.
[tex]Ratio = \frac{Actual}{Measured}[/tex]
Analyzing A.
Sides: 1.4 by 2.5 inches
We start by calculating ratio of each sides;
Length:
[tex]Ratio =\frac{8}{1.4}[/tex]
[tex]Ratio = \frac{40}{7}[/tex]
Width:
[tex]Ratio = \frac{5}{2.5}[/tex]
[tex]Ratio = 2[/tex]
Analyzing B.
Sides: 15 inches by 10 inches
Length
[tex]Ratio = \frac{8}{15}[/tex]
Width:
[tex]Ratio = \frac{5}{10}[/tex]
[tex]Ratio = \frac{1}{2}[/tex]
Both ratios are not equal
Analyzing C.
24 inches by 15 inches
Length
[tex]Ratio = \frac{8}{24}[/tex]
[tex]Ratio = \frac{1}{3}[/tex]
Width:
[tex]Ratio = \frac{5}{15}[/tex]
[tex]Ratio = \frac{1}{3}[/tex]
Both ratios are equal
Analyzing D.
Sides: 9 inches by 6 inches
Length
[tex]Ratio = \frac{8}{9}[/tex]
Width
[tex]Ratio = \frac{5}{6}[/tex]
Both ratios are not equal
Option C answers the question because both ratio are equal
There are 2 computers for every 3 iPads in this technology room
Answers
Answer:
The Ans Is 2:3
Step-by-step explanation:
Please help me!!
Geometry
Answers
Answer:
3
Step-by-step explanation:
M is the midpoint of AB. That means that 2 binomials are equal.
4n - 40 = 7* (-2n + 2) Remove the brackets
4n - 40 = - 14n + 14 Add 14n to both sides
4n+14n - 40 = -14n+14n + 14 Combine
18n - 40 = 14 Add 40 to both sides
18n = 14 + 40 Combine
18n = 54 Divide by 18
18n/18 = 54/18 Combine
n = 3
I need help with these I also would like it if you showed your work.
Answers
Answer:
1. n=11 2. n=5 3. n=15 4. n=4 5. n=4 6. n=27
Step-by-step explanation:
1. Subtract 2 from 13 to get your answer of 11
2. Divide 15 by 3 to get your answer of 5
3. Multiply both sides by 3 to cancel out the division of 3 and you'll get 30, then divide both sides by 2 to get your answer of 15
4. Add 5 to both sides to cancel out the negative 5 and you'll get 4
5. Subtract 3 from both sides to cancel out the 3 and you'll end up with 2n=8, then you wanna divide both sides by 2 to get your final answer of 4
6. Add 2 to both sides to cancel out the negative 2 and you'll be left with 1/3n=9, next you wanna multiply both sides by 3 to cancel out the 1/3 and you'll get your final answer of 27
- 2 -2
subtract 2 from both sides in order to isolate the variable (n) , 2 then crosses out and you are left with n= 11
2. 3n = 15
\ 3 \3
divide by three on both sides in order to isolate the variable (n), 3 crosses out and you are left with 15\3 = 5 . therefore n=5 .
3. 2n/3 = 10
2/3 n = 10
you need to reciprocate by doing this you multiply 2/3 by 3/2 , this cross cancels. you then must do the same for the other side (10) , 10/1 * 3/2 . 10x3 = 30 1*2 =2 , 30/2 therefore n=15 .
4. n -5 = -1
+5 +5
add five to both sides:) , 5 cross cancels and you are left with -1 + 5, this equals 4
therefore n=4.
5. 2n + 3 = 11
this is a two step equation so you need to subtract & multiply. first subtract three from both sides leaving you with 2n = 8
then divide by 2, this isolates the variable. 2/2 you’re left with n and 8/2 is 4, therefore n=4 .
6. 1/3n - 2 = 7
two step equation so you need to multiply and add. first add 2 to both sides -2 + 2 crosses out = 0 and 7 + 2 = 9 . the equation should now be 1/3n = 9
you then need to reciprocate and multiply , 1/3 * 3/1 crosses out and you’re left with n , then do the other side 3/1 * 9/1 , 3*9 = 27 and 1*1 = 1 . therefore n = 27/1 or 27 .
i hope this helped a little :) sorry i couldn’t show all work so i did my best to explain, good luckk .
Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality
Answers
Answer:
Division property of equality
Step-by-step explanation:
Consider the equation and its solution. 8 (x minus 2) = 64.
8 x minus 16 = 64.
8 x = 80.
x = 10.
Which property is used in the last step to find that x = 10
The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY
The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another
Let c be the integer greater than zero
ac = bc
Divide both sides by c
a = b
From the above question
8 x = 80
This is also written as:
8x = 8 × 10
Division property of equality
Divide both sides by 8
Hence,
x = 10
Answer:
division property of equality
Step-by-step explanation:
since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.
An airplane is flying at an altitude of 2.7 miles and is 8.3 miles from the runway. Find the angle of depression that the airplane must make to land safely.
Answers
Answer:
-8.72811548... i think
Step-by-step explanation:
a² + b² = c²
8.3² + 2.7² = c²
68.89 + 7.29 = c²
76.18 = c²
√76.18, -√76.18 = c
c = 8.72811548…, −8.72811548…
I think because it's depression, it's -8.72811548...
what is 8.8x10^5 in standard notation?
Answers
Answer:
880,000
Step-by-step explanation:
Move the decimal in 8.8 five places to the right.
Dairy Delight offers a free ice cream every time that the saleperson does not greet the customer with a smile. Last year Dairy Delight gave away free ice cream 3.8% of the time. What is the probability of randomly selecting 3 customers from last year who all received a free ice cream? Round the answer to 6 decimals. Show your work below.
Answers
Answer:
0.000055
Step-by-step explanation:
Given that:
Percentage of free ice cream Given last year = 3.8%
From a total population of 1 ; proportion of those who received free ice cream = 3.8/100 = 0.038
Hence,
Probability of selecting a customer who received free Ice cream = 0.038
Hence, if 3 people are picked randomly from last year who received free ice cream:
(0.038 * 0.038 * 0.038) = 0.000054872
= 0.000055 ( to 6 decimal places)
4 more then a number squared? expression form
Answers
Answer:
4 + x²
Step-by-step explanation:
Given problem:
4 more then a number squared
Problem:
Give the expression form;
Solution:
Let the number x;
So;
4 more than x squared:
4 + x²